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6n+3>15
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
6n>15-3
Subtract 3 from both sides.
6n>12
Subtract 3 from 15 to get 12.
n>\frac{12}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
n>2
Divide 12 by 6 to get 2.